Paragraph: Consider the system of linear equation aligned & x-2 y+b z=3 & a x+2 z=2 & 5 x+2 y=1 aligned On the basis of above informations, answer the following questions. Question: If a=3 & b=4 then system of equations has -

Step-by-step solution

aligned & x-2 y+b z=3 & a x+2 z=2 & 5 x+2 y=1 aligned aligned & = | array ccc 1 & -2 & b a & 0 & 2 5 & 2 & 0 array |=-24+2 a b & ₁= | array ccc 1 & -2 & 3 a & 0 & 2 5 & 2 & 1 array | & ₁=8 a-24 & ₂= | array ccc 1 & 3 & b a & 2 & 2 5 & 1 & 0 array | & ₂=28+a b-10 b . & ₃= | array ccc 3 & -2 & b 2 & 0 & 2 1 & 2 & 0 array | & ₃=16+4 b . aligned aligned & a=3 & b=4 & = ₁= ₂= ₃=0 aligned system has infinite solution.